3/21 Newcomers Equations of Parallel Lines

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

Write the equation of a line parallel to y = 2x + 3 through the point (1, 2).

Back

y = 2x - 2.

Front

What is the slope of the line y = -rac{3}{4}x + 5?

Back

The slope is -rac{3}{4}.

Front

If a line has a slope of 4, what is the slope of a line parallel to it?

Back

The slope of a parallel line is also 4.

Front

Write an equation of a line parallel to y = 1/2x + 1 through the point (2, 3).

Back

y = rac{1}{2}x + 2.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Write the equation of a line parallel to y = -x + 4 that passes through (0, 1).

Back

y = -x + 1.

Front

How do you find the y-intercept of a line given its slope and a point?

Back

Use the point-slope form: y - y_1 = m(x - x_1) and solve for y when x = 0.

Front

What is the equation of a line parallel to y = 3x - 5 through the point (-1, 2)?

Back

y = 3x + 5.